5 citations · 5 across the 5 of their papers we have counts for
6 papers
The method of ellipcenters with momentum and relaxation for convex quadratic minimization
Roger Behling, Vincent Guigues, Harry Oviedo
The method of ellipcenters (ME) is a recent technique developed for unconstrained minimization. Its iteration relies only on first order information and consists of building a suit…
Circumcentric directions of cones
Roger Behling, Yunier Bello-Cruz, Hugo Lara-Urdaneta +2
Generalized circumcenters have been recently introduced and employed to speed up classical projection-type methods for solving feasibility problems. In this note, circumcenters are…
Spectral Residual Method for Nonlinear Equations on Riemannian Manifolds
Harry Oviedo, Hugo Lara
In this paper, the spectral algorithm for nonlinear equations (SANE) is adapted to the problem of finding a zero of a given tangent vector field on a Riemannian manifold. The gener…
Scaled Fixed Point Algorithm for Computing the Matrix Square Root
Harry F. Oviedo, Hugo J. Lara, Oscar S. Dalmau
This paper addresses the numerical solution of the matrix square root problem. Two fixed point iterations are proposed by rearranging the nonlinear matrix equation an…
A Spectral Gradient Projection Method for the Positive Semi-definite Procrustes Problem
Harry F. Oviedo
This paper addresses the positive semi-definite procrustes problem (PSDP). The PSDP corresponds to a least squares problem over the set of symmetric and semi-definite positive matr…
A Non-monotone Linear Search Method with Mixed Direction on Stiefel Manifold
Harry Oviedo, Hugo Lara, Oscar Dalmau
In this paper, we propose a non-monotone line search method for solving optimization problems on Stiefel manifold. Our method uses as a search direction a mixed gradient based on a…